Concentric ring patterns beyond Turing instability
Various out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes. Here, we show that concentric ring patterns are stable beyond Turing instability. Based on a prototype pattern forming model, we...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-01-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.5.L012007 |
| _version_ | 1797210558954471424 |
|---|---|
| author | M. G. Clerc S. Echeverria-Alar L. A. Letelier C. Núñez-Barra |
| author_facet | M. G. Clerc S. Echeverria-Alar L. A. Letelier C. Núñez-Barra |
| author_sort | M. G. Clerc |
| collection | DOAJ |
| description | Various out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes. Here, we show that concentric ring patterns are stable beyond Turing instability. Based on a prototype pattern forming model, we show that these solutions are stable and identify the main ingredients for their stability: curvature, characteristic wavelength, and bistability. We further characterize the propagation of stable concentric ring patterns. Experimentally, we observe stable concentric ring patterns in an illuminated dye-doped liquid crystal cell with sufficiently high intensity. The formation of the concentric rings is in agreement with our predicted theoretical findings. |
| first_indexed | 2024-04-24T10:12:31Z |
| format | Article |
| id | doaj.art-1423357612834fb182b585be39fe6b14 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:12:31Z |
| publishDate | 2023-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-1423357612834fb182b585be39fe6b142024-04-12T17:27:39ZengAmerican Physical SocietyPhysical Review Research2643-15642023-01-0151L01200710.1103/PhysRevResearch.5.L012007Concentric ring patterns beyond Turing instabilityM. G. ClercS. Echeverria-AlarL. A. LetelierC. Núñez-BarraVarious out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes. Here, we show that concentric ring patterns are stable beyond Turing instability. Based on a prototype pattern forming model, we show that these solutions are stable and identify the main ingredients for their stability: curvature, characteristic wavelength, and bistability. We further characterize the propagation of stable concentric ring patterns. Experimentally, we observe stable concentric ring patterns in an illuminated dye-doped liquid crystal cell with sufficiently high intensity. The formation of the concentric rings is in agreement with our predicted theoretical findings.http://doi.org/10.1103/PhysRevResearch.5.L012007 |
| spellingShingle | M. G. Clerc S. Echeverria-Alar L. A. Letelier C. Núñez-Barra Concentric ring patterns beyond Turing instability Physical Review Research |
| title | Concentric ring patterns beyond Turing instability |
| title_full | Concentric ring patterns beyond Turing instability |
| title_fullStr | Concentric ring patterns beyond Turing instability |
| title_full_unstemmed | Concentric ring patterns beyond Turing instability |
| title_short | Concentric ring patterns beyond Turing instability |
| title_sort | concentric ring patterns beyond turing instability |
| url | http://doi.org/10.1103/PhysRevResearch.5.L012007 |
| work_keys_str_mv | AT mgclerc concentricringpatternsbeyondturinginstability AT secheverriaalar concentricringpatternsbeyondturinginstability AT laletelier concentricringpatternsbeyondturinginstability AT cnunezbarra concentricringpatternsbeyondturinginstability |